M.S., Math, Fudan University, Shanghai, China, 2008-2011 (Thesis: On the homology of generalized momeng-angle complexes, supervised by Prof. Zhi L\"{u})
Ph.D. , Kyushu University, Fukuoka, Japan, 2011-2014 (Thesis: Cup and cap products in real moment-angle manifolds, supervised by Prof. Osamu Saeki)
Experience
Postdoc, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, 2015-2017
Research interests
Algebraic Topology (Toric Topology)
Articles
L. Cai , S. Choi and H. Park, On the KO-groups of toric manifolds (2019), to appear in Algebraic & Geometric Topology. arXiv:1903.08423
L. Cai and S. Choi, Integral cohomology groups of real toric manifolds and small covers, submitted (2017). arXiv:1604.06988
L. Cai, On products in a real moment-angle manifold, Journal of the Mathematical Society of Japan, 69(2) (2017), 503–528. arXiv:1410.5543
L. Cai, Norm minima in certain Siegel leaves, Algebraic & Geometric Topology 15(1) (2015), 445–466. arXiv:1404.1575
Conference presentations
Torsion-free small covers, Workshop on Algebraic Topology and Geometric Topology, Dalian University of Technology, 2018.08.09-2018.08.13
A survey on special unitary cobordism, Workshop on algebraic and geometric topology in Nankai University, 2017.06.18-2017.06.23
On the homology of a small cover, Princeton-Rider workshop “On the homotopy theory of polyhedral products”, 2017.05.29-2017.06.02
Grants
NSFC funding (2020-2024) Group actions and the geometric topology of spaces , co-Principal Investigator
Talent program in Jiangsu Province (2019-2020) Innovation & Entrepreneurship Doctor , Principal Investigator
NSFC for young researchers (2019-2021) Toric topology and the enumeration of lattice points in convex polytopes Grant No. 11801457, 190000CNY, Principal Investigator
